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Simplifying 33x + 14x + -4.2 = 14x + -9x + -4x + 6.4 Reorder the terms: -4.2 + 33x + 14x = 14x + -9x + -4x + 6.4 Combine like terms: 33x + 14x = 47x -4.2 + 47x = 14x + -9x + -4x + 6.4 Reorder the terms: -4.2 + 47x = 6.4 + 14x + -9x + -4x Combine like terms: 14x + -9x = 5x -4.2 + 47x = 6.4 + 5x + -4x Combine like terms: 5x + -4x = 1x -4.2 + 47x = 6.4 + 1x Solving -4.2 + 47x = 6.4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4.2 + 47x + -1x = 6.4 + 1x + -1x Combine like terms: 47x + -1x = 46x -4.2 + 46x = 6.4 + 1x + -1x Combine like terms: 1x + -1x = 0 -4.2 + 46x = 6.4 + 0 -4.2 + 46x = 6.4 Add '4.2' to each side of the equation. -4.2 + 4.2 + 46x = 6.4 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 46x = 6.4 + 4.2 46x = 6.4 + 4.2 Combine like terms: 6.4 + 4.2 = 10.6 46x = 10.6 Divide each side by '46'. x = 0.2304347826 Simplifying x = 0.2304347826
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